Theorems · Definition · combinatorics
DiscreteTiling.Prototile.mk.noConfusion
{G : Type u_1} →
{X : Type u_2} →
{inst : Group G} →
{inst_1 : MulAction G X} →
{P : Sort u} →
{carrier : Set X} →
{symmetries : Subgroup ↥(MulAction.stabilizer G carrier)} →
{carrier' : Set X} →
{symmetries' : Subgroup ↥(MulAction.stabilizer G carrier')} →
{ carrier := carrier, symmetries := symmetries } =
{ carrier := carrier', symmetries := symmetries' } →
(carrier ≍ carrier' → symmetries ≍ symmetries' → P) → P- Defined in
- Mathlib.Combinatorics.Tiling.Tile
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- MulActionstatement and proof · cited by 1,294
- MulAction.stabilizerstatement and proof · cited by 254
- Set.mulActionSetstatement · cited by 95
- DiscreteTiling.Prototilestatement · cited by 14
- DiscreteTiling.Prototile.noConfusionproof · cited by 0
Cited by1
Results whose statement or proof uses this declaration.
- DiscreteTiling.Prototile.mk.injproof · cited by 1